{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Alphas Plots for Regularized Regression\n",
    "\n",
    "This is a development notebook to explore the use of alpha plots for regularized regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os \n",
    "import sys\n",
    "import numpy as np \n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sys.path.append(\"../..\")\n",
    "import yellowbrick as yb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "## The path to the test data sets\n",
    "FIXTURES  = os.path.join(os.getcwd(), \"data\")\n",
    "\n",
    "## Dataset loading mechanisms\n",
    "datasets = {\n",
    "    \"energy\": os.path.join(FIXTURES, \"energy\", \"energy.csv\"),\n",
    "    \"concrete\": os.path.join(FIXTURES, \"..\", \"..\", \"data\", \"concrete\", \"concrete.csv\"),\n",
    "}\n",
    "\n",
    "\n",
    "def load_data(name):\n",
    "    \"\"\"\n",
    "    Loads and wrangles the passed in dataset by name.\n",
    "    If download is specified, this method will download any missing files. \n",
    "    \"\"\"\n",
    "    \n",
    "    # Get the path from the datasets \n",
    "    path = datasets[name]\n",
    "    \n",
    "    # Check if the data exists, otherwise download or raise \n",
    "    if not os.path.exists(path):\n",
    "            raise ValueError((\n",
    "                \"'{}' dataset has not been downloaded, \"\n",
    "                \"use the download.py module to fetch datasets\"\n",
    "            ).format(name))\n",
    "        \n",
    "    \n",
    "    # Return the data frame\n",
    "    return pd.read_csv(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Load the data\n",
    "df = load_data('energy')\n",
    "feature_names = ['X1', 'X2', 'X3', 'X4', 'X5', 'X6', 'X7', 'X8']\n",
    "target_name = 'Y1'\n",
    "\n",
    "# Get the X and y data from the DataFrame \n",
    "X = df[feature_names].as_matrix()\n",
    "y = df[target_name].as_matrix() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Alphas Configuration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set the alphas \n",
    "alphas = np.logspace(-12, -1, 400)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizers "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.5/site-packages/sklearn/cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
      "  \"This module will be removed in 0.20.\", DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "from yellowbrick.regressor import AlphaSelection \n",
    "from sklearn.linear_model import RidgeCV, LassoCV, LassoLarsCV, ElasticNetCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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7924++eQTli9fzsCBA40OT0REypnhiXdWVhaRkZFMmjQJHx8funfvzrBhw1i2bFmxths2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\nl2RarAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1064432e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = AlphaSelection(RidgeCV(alphas=alphas, scoring=\"neg_mean_squared_error\"))\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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w67cXFBERkey35s8zDPl5DwDVS/nxRRvdOEJyhsOXXU9PT3x9fY2OISIiIv9z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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1098426d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = AlphaSelection(LassoCV(alphas=alphas))\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UtfXhyDkOX7pmcY6Tg4H65Yr/WX5LUau0Lw4OBiuktS0qwyIiIiL5TGamiX3n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\niYiIiEi2GIaJiIiISLYYhomIiIhItv4fRN5hST9EtoMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b216f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = AlphaSelection(LassoLarsCV())\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YPn063n333ae+l4iaHpFc4FWyMzIysHbtWly+fBm6uroYNmwYFi5cCG1tbTx48AArVqxA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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b8fe7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = AlphaSelection(ElasticNetCV(alphas=alphas))\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from yellowbrick.regressor import ManualAlphaSelection \n",
    "from sklearn.linear_model import Ridge, Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uXLijPvdKiXY+Klu2LJ6enpYOQ0RERB4wLi4u2Nvb5yo7c+YMDRo0wNnZmV27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\nAOAHBG0AAADAD/4f+u8rOG/B/rAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bb7b6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ManualAlphaSelection(Ridge())\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HixYtbnuOu3X48GG2bt3Krl27TNuqVatGZGQkderUwcPD447Ok5mZSWho6E13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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b8e4b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ManualAlphaSelection(Lasso())\n",
    "model.fit(X, y)\n",
    "model.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ridge Regularization\n",
    "\n",
    "### Manual Ridge "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JIaw4fMHKlYmIiIhYh8K1/Cv2dnZMaF+LmZ3q4mhvR1xCMi/M2czY0EO60VFE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\nRETEShSuRURERESs5P8BpLLETNrEBRcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b1d9a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.model_selection import cross_val_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "errors = []\n",
    "model = Ridge()\n",
    "for alpha in alphas:\n",
    "    model.set_params(alpha=alpha)\n",
    "    score = cross_val_score(model, X, y, cv=12, scoring='neg_mean_squared_error')\n",
    "    errors.append(score.mean())\n",
    "\n",
    "plt.plot(alphas, errors, label='ridge')\n",
    "plt.xlabel('alpha')\n",
    "plt.ylabel('mean squared error')\n",
    "plt.title(\"Manual Ridge Alpha Scoring\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ridge CV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zzjvvsG3bNkJDQ4mLi2PJkiWW0F7ca5cHezs73uxdsFzipcxsJn9edksZioiI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\neBMRERERucH/AL3scPPIyZoxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bb744a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import RidgeCV \n",
    "\n",
    "# Must pass store_cv_values=True in order to store the MSE of the alphas. \n",
    "ridge = RidgeCV(alphas=alphas, store_cv_values=True, scoring='neg_mean_squared_error')\n",
    "ridge.fit(X, y)\n",
    "\n",
    "# cv_values_ : array, shape = [n_samples, n_alphas] or shape = [n_samples, n_targets, n_alphas], optional\n",
    "# Cross-validation values for each alpha (if store_cv_values=True and cv=None). \n",
    "# After fit() has been called, this attribute will contain the mean squared errors (by default) or the \n",
    "# values of the {loss,score}_func function (if provided in the constructor).\n",
    "ridge.cv_values_.mean(0)\n",
    "\n",
    "g = plt.plot(ridge.alphas, ridge.cv_values_.mean(0), label=\"ridge\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"mean squared error\")\n",
    "plt.title(\"RidgeCV Alapha Error\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00085571831449399844"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridge.alpha_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LASSO Regularization \n",
    "\n",
    "### Lasso CV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nLrvz58+nZs2a9OvXD4CKFSuyd+9e5s6dy/vvv3/f54mPj3dQQskMGh/npbFx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\nAAC4LcIuAAAA3Nb/B0gBfwmUdeqgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b0ea080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LassoCV \n",
    "\n",
    "lasso = LassoCV(alphas=alphas)\n",
    "lasso.fit(X, y)\n",
    "\n",
    "# mse_path_ : array, shape (n_l1_ratio, n_alpha, n_folds)\n",
    "# Mean square error for the test set on each fold, varying l1_ratio and alpha.\n",
    "\n",
    "g = plt.plot(lasso.alphas_, lasso.mse_path_.mean(1), label=\"lasso\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"mean squared error\")\n",
    "plt.title(\"LassoCV Alapha Error\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9.9999999999999998e-13"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso.alpha_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lasso LARS CV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l4Ddx/Hwob7tVNxcDr3RozAvtGuKuECzXcbgwLCIiIvJPmc1m5mw6yOjlCVzN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\nAIBl/f9y0mG/MfG9/gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b0cbba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LassoLarsCV \n",
    "\n",
    "larslasso = LassoLarsCV()\n",
    "larslasso.fit(X, y)\n",
    "\n",
    "# mse_path_ : array, shape (n_l1_ratio, n_alpha, n_folds)\n",
    "# Mean square error for the test set on each fold, varying l1_ratio and alpha.\n",
    "\n",
    "g = plt.plot(larslasso.cv_alphas_, larslasso.cv_mse_path_.mean(1), label=\"lasso lars\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"mean squared error\")\n",
    "plt.title(\"LassoLarsCV Alapha Error\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.3567817268382741e-16"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "larslasso.alpha_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ElasticNet Regularization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+3IhINTHsEpHcUlNT37g16549e+Do6Fhip66+ffsiMTERu3btwtatW2Fra4tPP/0UhoaG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\nHIuyCwAAAMf6/0alLTLgAAH1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109bab5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import ElasticNetCV \n",
    "\n",
    "enet = ElasticNetCV(alphas=alphas)\n",
    "enet.fit(X, y)\n",
    "\n",
    "g = plt.plot(enet.alphas_, enet.mse_path_.mean(1), label=\"elasticnet\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"mean squared error\")\n",
    "plt.title(\"ElasticNetCV Alapha Error\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9.9999999999999998e-13"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "enet.alpha_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot All "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2aIS5g0M5VS2EMAUSdoUQQpgUg2B77C9yTxy7a7BV16xVEmgbBmF7fbTWqq6P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\n53I3MwABw+Ow++mnn2rXrl1avXr1Uce3bNnS7mK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2q7R2j+oaKn90/9DgMCVG9zocbJvD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\nxAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aecd550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot all \n",
    "plt.plot(ridge.alphas, ridge.cv_values_.mean(0), label=\"ridge\")\n",
    "plt.plot(lasso.alphas_, lasso.mse_path_.mean(1), label=\"lasso\")\n",
    "# plt.plot(larslasso.cv_alphas_, larslasso.cv_mse_path_.mean(1), label=\"lasso lars\")\n",
    "plt.plot(enet.alphas_, enet.mse_path_.mean(1), label=\"elasticnet\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"mean squared error\")\n",
    "plt.title(\"Regression CV Alapha Error\")\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Ridge Coefficients against Alpha \n",
    "\n",
    "This sample code comes from the [Scikit-Learn documentation](http://scikit-learn.org/stable/auto_examples/linear_model/plot_ridge_coeffs.html). Just an interesting different take on this to see if we can make a visualizer from it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+nm+++YYmTZoA0KxZMyIjI/H397fZ/3fffcc777yDyWQq4Ltmq3Hjxlgsllzx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c99TYv/uxK3ujV7uiEREREREZGqYvl+RzGmXWNfgurpbzERkd+r8MiY/Px8GjduDMC6devo2bMn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\ne4wdO5bbb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KvNxor9jr+tr4sK0t/JIiJ/wSXP2dO0aVMGDRqEn58f9evX54cffmDBggUq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\npPjobpo+/GbFOOODNv6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae65d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import Ridge \n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.datasets import make_regression\n",
    "\n",
    "clf = Ridge()\n",
    "\n",
    "# To do this, you need to know the true function defined by w. \n",
    "X, y, w = make_regression(n_samples=10, n_features=10, coef=True,\n",
    "                          random_state=1, bias=3.5)\n",
    "\n",
    "coefs = []\n",
    "errors = []\n",
    "\n",
    "alphas = np.logspace(-6, 6, 200)\n",
    "\n",
    "# Train the model with different regularisation strengths\n",
    "for a in alphas:\n",
    "    clf.set_params(alpha=a)\n",
    "    clf.fit(X, y)\n",
    "    coefs.append(clf.coef_)\n",
    "    errors.append(mean_squared_error(clf.coef_, w))\n",
    "\n",
    "# Display results\n",
    "plt.figure(figsize=(20, 6))\n",
    "\n",
    "plt.subplot(121)\n",
    "ax = plt.gca()\n",
    "ax.plot(alphas, coefs)\n",
    "ax.set_xscale('log')\n",
    "plt.xlabel('alpha')\n",
    "plt.ylabel('weights')\n",
    "plt.title('Ridge coefficients as a function of the regularization')\n",
    "plt.axis('tight')\n",
    "\n",
    "# This plot is similar to the plots we did above. \n",
    "plt.subplot(122)\n",
    "ax = plt.gca()\n",
    "ax.plot(alphas, errors)\n",
    "ax.set_xscale('log')\n",
    "plt.xlabel('alpha')\n",
    "plt.ylabel('error')\n",
    "plt.title('Coefficient error as a function of the regularization')\n",
    "plt.axis('tight')\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
